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Comptes Rendus Mathématique
Volume 355, n° 8
pages 903-905 (août 2017)
Doi : 10.1016/j.crma.2017.07.001
Received : 2 May 2017 ;  accepted : 3 July 2017
On a Liouville-type theorem for the Ginzburg–Landau system
Sur un théorème de type Liouville pour le système de Ginzburg–Landau
 

Christos Sourdis
 University of Athens, Greece 

Abstract

We prove that entire, complex valued solutions to the Ginzburg–Landau system with positive real and imaginary parts are constant in any spatial dimension. This property was shown very recently only in the planar case.

The full text of this article is available in PDF format.
Résumé

Nous prouvons que des solutions complexes au système de Ginzburg–Landau dans l'espace entier avec des parties réelles et imaginaires positives sont constantes dans toute dimension spatiale. Cette propriété a été démontrée très récemment, mais seulement dans le cas planaire.

The full text of this article is available in PDF format.


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